eng
Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
2019-06-23
7
3
85
90
10.12691/tjant-7-3-5
TJANT2019735
article
Inequalities for Three-times Differentiable Arithmetic-Harmonically Functions
Kerim Bekar
kebekar@gmail.com
1
Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun, Türkiye
In this work, by using an integral identity together with both the Hölder integral inequality and the power-mean integral inequality we establish several new inequalities for three-times differentiable arithmetic-harmonically-convex function. Then, using this inequalities, we obtain some new inequalities connected with means.
http://pubs.sciepub.com/tjant/7/3/5/tjant-7-3-5.pdf
convex function
arithmetic-harmonically-convex function
Hermite-Hadamard’s inequality